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Finding the Fourth Proportional to 380,750.42, 570,978.01 and 203,160.56

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Solution

The fourth proportional to 380,750.42, 570,978.01 and 203,160.56 is: 304,662.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,750.42 : 570,978.01 = 203,160.56 : x
  2. Step 2: Convert to fraction form
    380,750.42/570,978.01 = 203,160.56/x
  3. Step 3: Cross multiply
    380,750.42x = 570,978.01 × 203,160.56
  4. Step 4: Simplify right side
    380,750.42x = 116,000,211,243.48
  5. Step 5: Solve for x
    x = 116,000,211,243.48/380,750.42
  6. Step 6: Final answer
    x = 304,662.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.